Calculus Examples

$5 {(3)}^{3} e^{- 3}$

Step 1

Raise $3$ to the power of $3$ .

$5 \cdot 27 e^{- 3}$

Step 2

Multiply $5$ by $27$ .

$135 e^{- 3}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$135 \frac{1}{e^{3}}$

Step 4

Combine $135$ and $\frac{1}{e^{3}}$ .

$\frac{135}{e^{3}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{135}{e^{3}}$

Decimal Form:

$6.72125422 \dots$